Lesson 10-6: Secants and Tangents and Angle Measures

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Lesson 10-6: Secants and Tangents and Angle Measures Mrs. Mongold Geometry CP

Secant and Tangent Two Secants: Two Secants Two Tangents Interior angle = ½ intercepted arc Two Secants: Interior angle = ½ (sum of intercepted arcs) Two Secants Exterior angle = ½ (far arc – close arc) Two Tangents

2 Secants/chords: Angle 1 = ½ (arc AD + arc CB) Angle 2 = ½ (arc AC + arc DB) B 2 1 A D

Secant ED intersects tangent FC at a point of tangency (point F) Angle 1 = ½ arc FE Angle 2 = arc EA – arc FB 1 F B A 2 C